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Shape effects on wave propagation in a 2D domain using the finite element method

Federica Di Michele, Andriy Styahar, Donato Pera, Roberto Aloisio, Bruno Rubino and Pierangelo Marcati

Vol. 12 (2024), No. 3, 311–331
Abstract

Seismic wave propagation is influenced by any discontinuity in the mechanical properties of the propagation medium such as alluvial basins, fault zones and cavities. There are several interesting results in the literature concerning both the 3D and the 2D simplified cases. Many of the currently available results refer to the wave propagation in a vertical section of the 3D domain. On the contrary just few works account for the shape effects of the geological structures on a horizontal slice of the earth surface or on the surface itself, where the earthquake has a devastating effect on buildings and infrastructures. Therefore, in this paper we delve into the impact of a curved interface on wave propagation within a horizontal plane, revealing its role akin to an optical diopter, either focusing or defocusing seismic energy.

Keywords
seismic wave propagation, shape effects, curvature effects, finite difference method, spectral element method, boundary element method
Mathematical Subject Classification
Primary: 86A04, 86A15
Secondary: 65M60, 65N30, 74L05
Milestones
Received: 14 September 2023
Revised: 19 June 2024
Accepted: 23 July 2024
Published: 22 October 2024

Communicated by Francesco dell'Isola
Authors
Federica Di Michele
INGV – Istituto Nazionale di Geofisica e Vulcanologia
20133 Milan
Italy
Gran Sasso Science Institute (GSSI)
67100 L’Aquila
Italy
Andriy Styahar
Faculty of Applied Mathematics and Informatics
Ivan Franko National University of Lviv
79000 Lviv
Ukraine
Donato Pera
Department of Information Engineering, Computer Science and Mathematics
University of L’Aquila
67100 L’Aquila
Italy
Roberto Aloisio
Gran Sasso Science Institute (GSSI)
67100 L’Aquila
Italy
Bruno Rubino
Department of Information Engineering, Computer Science and Mathematics
University of L’Aquila
via Vetoio, Coppito
67100 L’Aquila
Italy
Pierangelo Marcati
Gran Sasso Science Institute (GSSI)
67100 L’Aquila
Italy